Numerical equivalence, cohomological equivalence, and Lefschetz theory of abelian varieties on finite fields
type: Item
instance of: scholarly article
title: Numerical equivalence, cohomological equivalence, and Lefschetz theory of abelian varieties on finite fields
zbMATH Open document ID: 1162.14014
published in: Pure and Applied Mathematics Quarterly
publication date: 2009-04-14T00:00:00Z
review text: Let \(A\) be an abelian variety over a finite field. The author determines the group of automorphisms generated, in the endomorphisms of the cohomology of \(A\), by the Lefschetz operators and the complex multiplications.
reviewed by: Cristiana Bertolin
Mathematics Subject Classification ID: 14F20
Mathematics Subject Classification ID: 14K22
zbMATH DE Number: 5543157
zbMATH Keywords: abelian varieties
zbMATH Keywords: finite fields
zbMATH Keywords: Lefschetz operators
zbMATH Keywords: etale cohomology
author: Pierre Deligne
MaRDI profile type: Publication
DOI: 10.4310/PAMQ.2009.V5.N1.A15
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description: scientific article; zbMATH DE number 5543157